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Finding the Fourth Proportional to 34.78, 51.90 and 29.11

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Solution

The fourth proportional to 34.78, 51.90 and 29.11 is: 43.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.78 : 51.90 = 29.11 : x
  2. Step 2: Convert to fraction form
    34.78/51.90 = 29.11/x
  3. Step 3: Cross multiply
    34.78x = 51.90 × 29.11
  4. Step 4: Simplify right side
    34.78x = 1,510.81
  5. Step 5: Solve for x
    x = 1,510.81/34.78
  6. Step 6: Final answer
    x = 43.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.